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2/(sqrt5+sqrt3)+1/(sqrt3+sqrt2)+3/(sqrt5...

`2/(sqrt5+sqrt3)+1/(sqrt3+sqrt2)+3/(sqrt5-sqrt2)`

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(sqrt5+sqrt2)(sqrt3+sqrt2)

If 2sqrtx= (sqrt5 + sqrt3)/(sqrt5 - sqrt3)-(sqrt5 - sqrt3)/(sqrt5 + sqrt3) then what is the value of x ?

If x=(sqrt5+sqrt2)/(sqrt5-sqrt2) and y=(sqrt5-sqrt2)/(sqrt5+sqrt2) then find the value of (3x-2y)(x+2y)

(1+sqrt2)/(sqrt5+sqrt3)= ((1+sqrt2)xx(sqrt5-sqrt3))/((sqrt5+sqrt3)xx(sqrt5-sqrt3))=

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

((1+sqrt2)/(sqrt5+sqrt3) + (1-sqrt2)/(sqrt5-sqrt3)) simplifies to :

Show that (sqrt5+sqrt3)/(sqrt5-sqrt3)-(sqrt5-sqrt3)/(sqrt5+sqrt3)=2sqrt15

(2sqrt3+sqrt5)(2sqrt3+sqrt5)